{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3e9200f7",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T02:10:13.355502Z",
     "start_time": "2023-06-18T02:10:13.340265Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86e5ac09",
   "metadata": {},
   "source": [
    "## basics"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48f3826b",
   "metadata": {},
   "source": [
    "- 为什么要学 KD\n",
    "    - 必要；\n",
    "        - GPT 时代\n",
    "        - 业务所需；\n",
    "    - 模型结构（分支）和损失函数的设计，值得借鉴\n",
    "- openai GPT 一骑绝尘的时代，GPT4 就是老师；\n",
    "- Teacher-Student paradigm\n",
    "    - 在训练中将 teacher 的知识蒸馏/transfer 到 student model 中；\n",
    "        - 对于 student model 而言，就是 mimic（模仿）的过程；\n",
    "    - teacher：larger，slower，better-performing\n",
    "    - student：smaller, faster, cheaper and lighter\n",
    "- 2006年提出来，是在 ensemble models（集成模型）的语境下提出来的；\n",
    "    - 2015年，引入到深度学习；\n",
    "- 本节的重点是知识蒸馏的 **模型架构**（loss Function） 及 **Pipeline**；"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4459f541",
   "metadata": {},
   "source": [
    "## 理论初步"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "5b215189",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T03:16:35.098029Z",
     "start_time": "2023-06-18T03:16:35.084378Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 27,
     "metadata": {
      "image/png": {
       "width": 600
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('../imgs/dist.png', width=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df7c19ef",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-17T07:08:40.863769Z",
     "start_time": "2023-06-17T07:08:40.845145Z"
    }
   },
   "source": [
    "- 理论方面\n",
    "    - Student model 学的不是一个 single value（one-hot representation），而是 teacher model 预测的概率分布（dense feature representation）；\n",
    "    - 关于多分类问题的输出\n",
    "        - ground truth：hard target，one-hot encoding\n",
    "        - Teacher predict output：softmax ($T=1$)\n",
    "            - soften probabilities ($T>1$)\n",
    "    \n",
    "- 假如对于一个有监督的分类问题，对于样本 $x$，\n",
    "    - 对于 Teacher model，其 output（logits） 为 $\\mathbf z(x)=[z_1(x),z_2(x),\\cdots,z_N(x)]$\n",
    "        - 将其进一步通过 softmax（with temperature）转化为概率化的输出：\n",
    "$$\n",
    "p_i(x)=\\frac{\\exp\\left(\\frac{z_i(x)}T\\right)}{\\sum_j\\exp\\left(\\frac{z_j(x)}{T}\\right)}\n",
    "$$\n",
    "\n",
    "    - 对于 Student model，其预测的概率分布为 $q_i(x)$\n",
    "    - 此时使用 KL-divergence（KL-散度）来度量两个概率分布的距离（或者叫差异）\n",
    "    \n",
    "$$\n",
    "D_{KL}(p,q)=\\sum_ip_i(x)\\log\\frac{p_i(x)}{q_i(x)}\\\\\n",
    "L_{KD}=T^2D_{KL}\n",
    "$$\n",
    "- 通过 KL-divergence，也度量了当 Student model（用 $q_i(x)$）来逼近/近似 Teacher model （用 $p_i(x)$）的信息损失；\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "L_{\\text{student}}&=\\alpha L_{\\text{CE}} + (1-\\alpha)L_{KD}\\\\\n",
    "&=\\alpha L_{\\text{CE}} + (1-\\alpha)T^2D_{KL}\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cdd59471",
   "metadata": {},
   "source": [
    "## 模型结构"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d3c3ab49",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T02:21:19.736628Z",
     "start_time": "2023-06-18T02:21:19.721727Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "width": 500
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('../imgs/kd.png', width=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f628b916",
   "metadata": {},
   "source": [
    "## kd on pretraining"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8be2d0a",
   "metadata": {},
   "source": [
    "- BERT 开启了一个范式：pretraining + downstream tasks\n",
    "- 同样地对 pretraining model （比如 BERT）进行 distill 得到 DistilBert\n",
    "    - https://arxiv.org/abs/1910.01108（DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lighter\n",
    "）\n",
    "        - https://medium.com/huggingface/distilbert-8cf3380435b5\n",
    "    - $L_{cos}=1-\\cos(h_s,h_t)$  不只是对齐输出，还对齐（align）direction of hidden state vectors（representation space）\n",
    "$$\n",
    "\\begin{split}\n",
    "L_{\\text{distil-bert}}&=\\alpha L_{\\text{mlm}} + \\beta L_{KD} + \\gamma L_{cos}\\\\\n",
    "&=\\alpha L_{\\text{mlm}} + \\beta L_{KD} + \\gamma (1-\\cos(h_s,h_t))\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0883a151",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T02:24:58.876157Z",
     "start_time": "2023-06-18T02:24:58.761548Z"
    }
   },
   "outputs": [],
   "source": [
    "from transformers import AutoModel, AutoTokenizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9cb263da",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T02:26:22.497708Z",
     "start_time": "2023-06-18T02:26:22.492733Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['HTTP_PROXY'] = 'http://127.0.0.1:7890'\n",
    "os.environ['HTTPS_PROXY'] = 'http://127.0.0.1:7890'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c1474037",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T02:33:04.694676Z",
     "start_time": "2023-06-18T02:33:01.588315Z"
    },
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.bias', 'cls.predictions.transform.LayerNorm.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.dense.weight']\n",
      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n",
      "Some weights of the model checkpoint at distilbert-base-uncased were not used when initializing DistilBertModel: ['vocab_transform.weight', 'vocab_layer_norm.bias', 'vocab_transform.bias', 'vocab_layer_norm.weight', 'vocab_projector.bias']\n",
      "- This IS expected if you are initializing DistilBertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
      "- This IS NOT expected if you are initializing DistilBertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
     ]
    }
   ],
   "source": [
    "model = AutoModel.from_pretrained('bert-base-uncased')\n",
    "kd_model = AutoModel.from_pretrained('distilbert-base-uncased')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "84ec8305",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T03:56:57.706881Z",
     "start_time": "2023-06-18T03:56:57.693523Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BertModel(\n",
       "  (embeddings): BertEmbeddings(\n",
       "    (word_embeddings): Embedding(30522, 768, padding_idx=0)\n",
       "    (position_embeddings): Embedding(512, 768)\n",
       "    (token_type_embeddings): Embedding(2, 768)\n",
       "    (LayerNorm): LayerNorm((768,), eps=1e-12, elementwise_affine=True)\n",
       "    (dropout): Dropout(p=0.1, inplace=False)\n",
       "  )\n",
       "  (encoder): BertEncoder(\n",
       "    (layer): ModuleList(\n",
       "      (0-11): 12 x BertLayer(\n",
       "        (attention): BertAttention(\n",
       "          (self): BertSelfAttention(\n",
       "            (query): Linear(in_features=768, out_features=768, bias=True)\n",
       "            (key): Linear(in_features=768, out_features=768, bias=True)\n",
       "            (value): Linear(in_features=768, out_features=768, bias=True)\n",
       "            (dropout): Dropout(p=0.1, inplace=False)\n",
       "          )\n",
       "          (output): BertSelfOutput(\n",
       "            (dense): Linear(in_features=768, out_features=768, bias=True)\n",
       "            (LayerNorm): LayerNorm((768,), eps=1e-12, elementwise_affine=True)\n",
       "            (dropout): Dropout(p=0.1, inplace=False)\n",
       "          )\n",
       "        )\n",
       "        (intermediate): BertIntermediate(\n",
       "          (dense): Linear(in_features=768, out_features=3072, bias=True)\n",
       "          (intermediate_act_fn): GELUActivation()\n",
       "        )\n",
       "        (output): BertOutput(\n",
       "          (dense): Linear(in_features=3072, out_features=768, bias=True)\n",
       "          (LayerNorm): LayerNorm((768,), eps=1e-12, elementwise_affine=True)\n",
       "          (dropout): Dropout(p=0.1, inplace=False)\n",
       "        )\n",
       "      )\n",
       "    )\n",
       "  )\n",
       "  (pooler): BertPooler(\n",
       "    (dense): Linear(in_features=768, out_features=768, bias=True)\n",
       "    (activation): Tanh()\n",
       "  )\n",
       ")"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "ad017fe3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T03:57:04.667998Z",
     "start_time": "2023-06-18T03:57:04.656161Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DistilBertModel(\n",
       "  (embeddings): Embeddings(\n",
       "    (word_embeddings): Embedding(30522, 768, padding_idx=0)\n",
       "    (position_embeddings): Embedding(512, 768)\n",
       "    (LayerNorm): LayerNorm((768,), eps=1e-12, elementwise_affine=True)\n",
       "    (dropout): Dropout(p=0.1, inplace=False)\n",
       "  )\n",
       "  (transformer): Transformer(\n",
       "    (layer): ModuleList(\n",
       "      (0-5): 6 x TransformerBlock(\n",
       "        (attention): MultiHeadSelfAttention(\n",
       "          (dropout): Dropout(p=0.1, inplace=False)\n",
       "          (q_lin): Linear(in_features=768, out_features=768, bias=True)\n",
       "          (k_lin): Linear(in_features=768, out_features=768, bias=True)\n",
       "          (v_lin): Linear(in_features=768, out_features=768, bias=True)\n",
       "          (out_lin): Linear(in_features=768, out_features=768, bias=True)\n",
       "        )\n",
       "        (sa_layer_norm): LayerNorm((768,), eps=1e-12, elementwise_affine=True)\n",
       "        (ffn): FFN(\n",
       "          (dropout): Dropout(p=0.1, inplace=False)\n",
       "          (lin1): Linear(in_features=768, out_features=3072, bias=True)\n",
       "          (lin2): Linear(in_features=3072, out_features=768, bias=True)\n",
       "          (activation): GELUActivation()\n",
       "        )\n",
       "        (output_layer_norm): LayerNorm((768,), eps=1e-12, elementwise_affine=True)\n",
       "      )\n",
       "    )\n",
       "  )\n",
       ")"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kd_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "0f4a41a0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T03:57:35.401623Z",
     "start_time": "2023-06-18T03:57:35.393843Z"
    }
   },
   "outputs": [],
   "source": [
    "def model_size(model):\n",
    "    return sum(para.numel() for para in model.parameters())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "edbe1564",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-18T03:57:41.924666Z",
     "start_time": "2023-06-18T03:57:41.910483Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "109482240\n",
      "66362880\n",
      "0.6061520115043316\n"
     ]
    }
   ],
   "source": [
    "print(model_size(model))\n",
    "print(model_size(kd_model))\n",
    "print(model_size(kd_model)/model_size(model))"
   ]
  }
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